TRANSLATIONALLY INVARIANT KINK SOLUTIONS OF DISCRETE φ4 MODELS

被引：5

作者：

Baimova, J. A. ^{[1
]}

Bebikhov, Yu V. ^{[2
]}

Dmitriev, S. V. ^{[1
]}

Khare, A. ^{[3
]}

Potekaev, A. I. ^{[4
]}

机构：

[1] Russian Acad Sci, Inst Met Superplast Problems, Ufa 450001, Russia

[2] II Polzunov Altai State Tech Univ, Barnaul, Russia

[3] Inst Phys, Bhubaneswar, India

[4] Tomsk State Univ, VD Kuznetsov Siberian Phys Tech Inst, Tomsk 634050, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2010年 / 53卷 / 03期

关键词：

discrete models; translationally invariant structures; KLEIN-GORDON MODELS; DISCRETIZATIONS;

D O I：

10.1007/s11182-010-9409-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The properties of translationally invariant kinks in two discrete phi(4) models are compared with those of the kinks in a classical discrete model. The translationally invariant kink solutions can be found randomly with respect to the lattice sites, i.e., their Peierls-Nabarro potential is exactly equal to zero. It is shown that these solutions have a Goldstone mode, that is, they can move along the lattice at vanishingly small velocities. Thus, the translationally invariant kink is not trapped by the lattice and can be accelerated by an arbitrary small external field and, having an increased mobility, can transfer a range of physical quantities: matter, energy, momentum, etc.

引用

页码：231 / 238

页数：8

共 23 条

[1] Translationally invariant discrete kinks from one-dimensional maps [J].

Barashenkov, IV ;

Oxtoby, OF ;

Pelinovsky, DE .

PHYSICAL REVIEW E, 2005, 72 (03)

[2] Solitons and their interactions in classical field theory [J].

Belova, TI ;

Kudryavtsev, AE .

USPEKHI FIZICHESKIKH NAUK, 1997, 167 (04) :377-406

[3] Continuum limit of lattice approximation schemes [J].

Bender, CM ;

Tovbis, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (07) :3700-3717

[4]

BOGOMOLNYI EV, 1976, D, V24, P449

[5] Exact solitary wave solutions for a discrete λφ4 field theory in 1+1 dimensions -: art. no. 036605 [J].

Cooper, F ;

Khare, A ;

Mihaila, B ;

Saxena, A .

PHYSICAL REVIEW E, 2005, 72 (03)

[6] Exact static solutions for discrete φ4 models free of the Peierls-Nabarro barrier:: Discretized first-integral approach [J].

Dmitriev, S. V. ;

Kevrekidis, P. G. ;

Yoshikawa, N. ;

Frantzeskakis, D. J. .

PHYSICAL REVIEW E, 2006, 74 (04)

[7] Standard nearest-neighbour discretizations of Klein-Gordon models cannot preserve both energy and linear momentum [J].

Dmitriev, S. V. ;

Kevrekidis, P. G. ;

Yoshikawa, N. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (23) :7217-7226

[8] Long-period states of a crystal finite-size-particle system [J].

Dmitriev, S. V. ;

Potekaev, A. I. ;

Samsonov, A. V. .

RUSSIAN PHYSICS JOURNAL, 2009, 52 (06) :622-639

[9] DYNAMIC LONG-PERIOD NANOSIZED STATES IN LATTICE STRUCTURE [J].

Dmitriev, S. V. ;

Nazarov, A. A. ;

Potekaev, A. I. ;

Pshenichnyuk, A. I. ;

Khadeeva, L. Z. .

RUSSIAN PHYSICS JOURNAL, 2009, 52 (02) :132-137

[10] Localized vibrational modes in an A 3 B two-dimensional perfect crystal [J].

Dmitriev, S. V. ;

Medvedev, N. N. ;

Mulyukov, R. R. ;

Pozhidaeva, O. V. ;

Potekaev, A. I. ;

Starostenkov, M. D. .

RUSSIAN PHYSICS JOURNAL, 2008, 51 (08) :858-865

← 1 2 3 →